What is factor x^{12}-81 ?

The solution to factor x^{12}-81 is (x^6+9)(x^3+3)(x^3-3)

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factor x^{12}-81

factor

x^{12} - 81

(x^{6} + 9) (x^{3} + 3) (x^{3} - 3)

Solution steps

x^{12} - 81

Apply exponent rules

= (x^{6})^{2} - 9^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x^{6})^{2} - 9^{2} = (x^{6} + 9) (x^{6} - 9)

= (x^{6} + 9) (x^{6} - 9)

Factor

x^{6} - 9 : (x^{3} + 3) (x^{3} - 3)

= (x^{6} + 9) (x^{3} + 3) (x^{3} - 3)

(4 k + 2)^{2}

(x + 5)^{2} - 7

(6 - 8 i) (6 + 8 i)

⌊ 0 ⌋

(12 a + 3 b - 4 c) + (6 a - 8 b + 5 c)

What is factor x^{12}-81 ?
The solution to factor x^{12}-81 is (x^6+9)(x^3+3)(x^3-3)